Metrics for exp2 (problem 3.3.7)

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.4%	49.6%	0%	0%	0%	0
100%	50.4%	0%	49.6%	0%	0%	0%	1

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.2s (28.7%)

Memory

111.2MiB live, 3 905.3MiB allocated

Samples

2.4s	5 578×	2	valid
448.0ms	2 469×	1	valid
13.0ms	209×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-exp: 1.8s (71.7% of total)

adjust: 326.0ms (12.7% of total)

ival-sub: 167.0ms (6.5% of total)

ival-add: 102.0ms (4% of total)

ival-fabs: 59.0ms (2.3% of total)

ival-neg: 33.0ms (1.3% of total)

ival-<=: 28.0ms (1.1% of total)

exact: 9.0ms (0.4% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess35.0ms (0.3%)

Memory

1.6MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Rules

244×	`lower-fma.f64`
244×	`lower-fma.f32`
104×	`lower-+.f32`
102×	`lower-+.f64`
102×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))

Symmetry

(abs x)

explain248.0ms (2.2%)

Memory

-23.1MiB live, 259.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
129	1	(6.865146007775507e-162)	-	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`
0	0	-	-	`(-.f64 (exp.f64 x) #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 x)`
0	1	(168.72136327134075)	-	`(exp.f64 (neg.f64 x))`
0	0	-	-	`(neg.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`	cancellation	130	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	129	0
-	2	125

Precision

0.9847328244274809

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	2	1	124

Precision?

0.9772727272727273

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

161.0ms	356×	2	valid
21.0ms	148×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 64 to 32 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-exp: 96.0ms (72% of total)

adjust: 21.0ms (15.8% of total)

ival-sub: 7.0ms (5.3% of total)

ival-add: 6.0ms (4.5% of total)

ival-neg: 2.0ms (1.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify17.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 (neg.f64 x))
✓	cost-diff	(exp.f64 x)
✓	cost-diff	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	cost-diff	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Rules

244×	`lower-fma.f64`
244×	`lower-fma.f32`
104×	`lower-+.f32`
102×	`lower-+.f64`
102×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize104.0ms (0.9%)

Memory

6.6MiB live, 158.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (neg.f64 x))
✓	accuracy	100.0%	(exp.f64 x)
✓	accuracy	100.0%	(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓	accuracy	53.5%	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Samples

81.0ms	178×	2	valid
10.0ms	74×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-exp: 58.0ms (72.8% of total)

ival-sub: 10.0ms (12.5% of total)

adjust: 7.0ms (8.8% of total)

ival-add: 3.0ms (3.8% of total)

ival-neg: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))>
#<alt (-.f64 (exp.f64 x) #s(literal 2 binary64))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>

Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	inf	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	-inf	(+ (- (exp x) 2) (exp (neg x)))
0.0ms	x	@	0	(- (exp x) 2)
0.0ms	x	@	0	(exp (neg x))

rewrite306.0ms (2.8%)

Memory

2.2MiB live, 351.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 586×	`lower-*.f64`
3 586×	`lower-*.f32`
3 204×	`lower-/.f64`
3 204×	`lower-/.f32`
2 998×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	12	17
1	51	17
2	394	17
3	6866	15
0	8047	14

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 245

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))

Outputs
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64))))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (exp.f64 (neg.f64 x)))
(fma.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 x) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
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(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (+.f64 x x) #s(literal 3 binary64))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (.f64 (exp.f64 x) #s(literal -2 binary64)))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))
(.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))))
(.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (neg.f64 (exp.f64 (.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) (exp.f64 (+.f64 x x))) (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal 2 binary64) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal -4 binary64)) (+.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 8 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 (exp.f64 x) #s(literal -2 binary64) #s(literal 4 binary64))))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))

simplify735.0ms (6.6%)

Memory

-53.9MiB live, 626.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 068×	`lower-fma.f64`
17 068×	`lower-fma.f32`
3 466×	`lower-+.f64`
3 466×	`lower-+.f32`
3 160×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	269
1	168	268
2	397	262
3	1053	262
4	1755	262
5	3019	262
6	3833	262
7	5252	262
8	6659	262
0	8202	241

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))

Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

eval65.0ms (0.6%)

Memory: -4.0MiB live, 80.3MiB allocated
Compiler: Compiled 6 835 to 793 computations (88.4% saved)

prune33.0ms (0.3%)

Memory

18.0MiB live, 95.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	288	5	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	289	5	294

Accuracy

100.0%

Counts

294 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
▶	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
▶	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
▶	98.9%	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
▶	98.7%	(*.f64 x x)

Compiler

Compiled 116 to 64 computations (44.8% saved)

simplify382.0ms (3.4%)

Memory

26.2MiB live, 573.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(cosh.f64 x)
✓	cost-diff	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	cost-diff	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	cost-diff	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
✓	cost-diff	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
✓	cost-diff	(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
✓	cost-diff	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))

Rules

10 244×	`lower-fma.f32`
10 230×	`lower-fma.f64`
3 772×	`lower-*.f32`
3 756×	`lower-*.f64`
1 790×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	165
0	45	155
1	108	155
2	247	155
3	507	155
4	932	155
5	1554	155
6	1939	155
7	2451	155
8	3652	155
9	4568	155
10	5211	155
11	6459	155
12	7659	155
0	8067	151

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
x
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(*.f64 x x)
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
x
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
x
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
x
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)

Outputs
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
x
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(*.f64 x x)
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(*.f64 x x)
x
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
x
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal 1/12 binary64)
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x))
x
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(*.f64 x x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(literal -2 binary64)

localize265.0ms (2.4%)

Memory

-19.6MiB live, 370.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cosh.f64 x)
✓	accuracy	53.4%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
✓	accuracy	100.0%	(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))

Samples

167.0ms	178×	2	valid
35.0ms	74×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 186 to 31 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 42.0ms (31.9% of total)

ival-cosh: 27.0ms (20.5% of total)

adjust: 24.0ms (18.2% of total)

ival-add: 20.0ms (15.2% of total)

const: 18.0ms (13.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))>
#<alt (.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))>
#<alt (*.f64 x x)>
#<alt (.f64 (.f64 x x) #s(literal 1/12 binary64))>
#<alt (.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))>
#<alt (fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))>
#<alt (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))>
#<alt (fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)>
#<alt (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))>
#<alt (cosh.f64 x)>

Outputs
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 5))>
#<alt (* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ (* (* x x) (* x (+ (* (* x x) 1/360) 1/12))) x))
1.0ms	x	@	inf	(+ (* 2 (cosh x)) -2)
1.0ms	x	@	-inf	(+ (* 2 (cosh x)) -2)
1.0ms	x	@	-inf	(* x (* x x))
1.0ms	x	@	inf	(* x (+ (* (* x x) 1/20160) 1/360))

rewrite448.0ms (4%)

Memory

-24.7MiB live, 417.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 936×	`lower-fma.f32`
4 922×	`lower-fma.f64`
4 672×	`lower-*.f32`
4 656×	`lower-*.f64`
4 516×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	114
0	45	106
1	188	106
2	1364	106
0	8209	102

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 441

Calls

Call 1

Inputs
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(.f64 x (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/12 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x)
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(cosh.f64 x)

Outputs
(+.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x #s(literal 1/360 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x #s(literal 1/360 binary64)))) (/.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x #s(literal 1/360 binary64)))))
(fma.f64 x #s(literal 1/360 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/20160 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/360 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/20160 binary64)) x (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (.f64 x #s(literal 1/20160 binary64)) (.f64 x x) (*.f64 x #s(literal 1/360 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x #s(literal 1/360 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x #s(literal 1/360 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x #s(literal 1/360 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x #s(literal 1/360 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (.f64 x (fma.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal 1/7257600 binary64)))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x #s(literal 1/360 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x #s(literal 1/360 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/20160 binary64))) (.f64 x #s(literal 1/360 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) (-.f64 #s(literal 1/129600 binary64) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))
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(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (cosh.f64 x) #s(literal -4 binary64))))))
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(.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(cosh.f64 x)
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 x))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))

simplify919.0ms (8.3%)

Memory

7.1MiB live, 603.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 232×	`lower-fma.f64`
18 232×	`lower-fma.f32`
3 550×	`lower-*.f64`
3 550×	`lower-*.f32`
2 634×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1344
1	335	1276
2	855	1272
3	2300	1272
4	4215	1272
5	7016	1272
0	8307	1172

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

Inputs
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))

Outputs
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (+.f64 (/.f64 #s(literal 1/360 binary64) (.f64 x x)) (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* 1/12 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* 1/12 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* 1/12 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* 1/360 (pow x 3))
(.f64 #s(literal 1/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(* 1/360 (pow x 6))
(.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/360 (pow x 5))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/360 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(* 1/360 (pow x 5))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 x (fma.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))

eval101.0ms (0.9%)

Memory: 23.2MiB live, 177.7MiB allocated
Compiler: Compiled 22 383 to 1 843 computations (91.8% saved)

prune74.0ms (0.7%)

Memory

16.8MiB live, 216.3MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	684	13	697
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	685	17	702

Accuracy

100.0%

Counts

702 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
	98.9%	(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
✓	53.4%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	98.9%	(.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x)
	52.4%	(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
▶	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (-.f64 (/.f64 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64)) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
▶	98.9%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
	98.9%	(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
▶	52.4%	(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
▶	52.1%	(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
✓	98.7%	(*.f64 x x)

Compiler

Compiled 583 to 308 computations (47.2% saved)

simplify248.0ms (2.2%)

Memory

-22.8MiB live, 513.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
✓	cost-diff	0	(fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	(.f64 x (fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (.f64 x #s(literal 1/12 binary64))) x)
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
✓	cost-diff	320	(fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
✓	cost-diff	320	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))

Rules

10 706×	`lower-fma.f32`
10 688×	`lower-fma.f64`
2 834×	`lower-*.f32`
2 800×	`lower-*.f64`
2 540×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	362
0	69	320
1	147	289
2	354	281
3	745	279
4	1343	279
5	2240	279
6	3102	279
7	5991	279
0	8137	274

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
x
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/12 binary64)
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
x
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
#s(literal 1/360 binary64)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (.f64 x #s(literal 1/12 binary64))) x)
(*.f64 x x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64)))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 x (fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
x
(fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64))
(.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(fma.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/406425600 binary64)
#s(literal -1/129600 binary64)
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal -1/360 binary64)
#s(literal 1/12 binary64)

Outputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
x
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 x (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))))
x
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/12 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/12 binary64)
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
x
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (*.f64 x x)))))
#s(literal 1/360 binary64)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x))
x
(fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (.f64 x #s(literal 1/12 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) x)
(*.f64 x x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 x (fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x))
x
(fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))) x)
(fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64))
(fma.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64))
(.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(fma.f64 (.f64 (.f64 x (*.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
#s(literal 1/406425600 binary64)
#s(literal -1/129600 binary64)
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal -1/360 binary64)
#s(literal 1/12 binary64)

localize196.0ms (1.8%)

Memory

6.8MiB live, 368.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x x)) x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	99.9%	(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x (*.f64 x x)) x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))

Samples

100.0ms

256×

valid

Compiler

Compiled 393 to 44 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 42.0ms (51.9% of total)

const: 27.0ms (33.4% of total)

ival-add: 9.0ms (11.1% of total)

ival-div: 2.0ms (2.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-29.0MiB live, 12.9MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 (.f64 x (*.f64 x x)) x)>
#<alt (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))>
#<alt (.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))>
#<alt (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))>
#<alt (*.f64 x x)>
#<alt (.f64 x (.f64 x (.f64 x (.f64 x x))))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (*.f64 x #s(literal 1/360 binary64))>
#<alt (.f64 x (.f64 x #s(literal 1/360 binary64)))>
#<alt (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))>
#<alt (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))>
#<alt (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))>

Outputs
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/360 (pow x 5))>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt 1/360>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (+ 1/360 (* 1/20160 (pow x 2)))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (/ (+ (* (* (* x (* x x)) x) 1/406425600) -1/129600) (+ (* x (* x 1/20160)) -1/360)))
1.0ms	x	@	inf	(* x (/ (+ (* (* (* x (* x x)) x) 1/406425600) -1/129600) (+ (* x (* x 1/20160)) -1/360)))
0.0ms	x	@	0	(* (* x (* x x)) x)
0.0ms	x	@	-inf	(* x (+ (* (* x x) (+ (* (* x (* x 1/360)) x) (* x 1/12))) x))
0.0ms	x	@	-inf	(* 1/360 (* x (* x (* x (* x x)))))

rewrite378.0ms (3.4%)

Memory

1.1MiB live, 593.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 314×	`lower-fma.f32`
9 304×	`lower-fma.f64`
5 050×	`lower-*.f32`
5 022×	`lower-*.f64`
4 152×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	136
0	53	100
1	178	84
2	1171	84
0	8486	82

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

16 → 601

Calls

Call 1

Inputs
(.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(.f64 x (.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/12 binary64))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(*.f64 x x)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
(.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))

Outputs
(+.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (.f64 x #s(literal 1/360 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 #s(literal -1/360 binary64) x))) (/.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) (fma.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 #s(literal -1/360 binary64) x))))
(fma.f64 x #s(literal 1/360 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)))
(fma.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (.f64 x #s(literal 1/20160 binary64)) (.f64 x x) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 #s(literal 1/360 binary64) x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64) (*.f64 x #s(literal 1/360 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) x (*.f64 x #s(literal 1/360 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (.f64 x #s(literal 1/360 binary64))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 #s(literal -1/360 binary64) x)) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))) (*.f64 #s(literal -1/360 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) #s(literal -1/7257600 binary64))) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) #s(literal -1/7257600 binary64))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)))) x)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (.f64 x x))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/46656000 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/129600 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x #s(literal 1/360 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))) (.f64 #s(literal -1/360 binary64) x))) (fma.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64))) (*.f64 #s(literal -1/360 binary64) x)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal -1/7257600 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64))))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64)) x) (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal -1/7257600 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)))) x) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x))))
(/.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/52672757760000 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/52672757760000 binary64))) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal -1/16796160000 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal -1/16796160000 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/67134099304759689216000000 binary64)) (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal -1/7257600 binary64))) (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal -1/7257600 binary64))) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal -1/7257600 binary64))))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal -1/7257600 binary64))) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal -1/7257600 binary64)))) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64))) (-.f64 #s(literal 1/129600 binary64) (.f64 (*.f64 x x) #s(literal -1/7257600 binary64))))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64))) (.f64 (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal -1/7257600 binary64))) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal -1/7257600 binary64)))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64)) (-.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64))) (-.f64 #s(literal 1/129600 binary64) (.f64 (.f64 x x) #s(literal -1/7257600 binary64))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (-.f64 #s(literal 1/129600 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64))))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (+.f64 #s(literal 1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (+.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/52672757760000 binary64))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/52672757760000 binary64))) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal -1/7257600 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (+.f64 #s(literal 1/129600 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) (.f64 (*.f64 x x) #s(literal -1/7257600 binary64))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal -1/16796160000 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal -1/16796160000 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))
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(.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/360 binary64) (.f64 #s(literal -1/20160 binary64) (*.f64 x x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal 1/46656000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal -1/7257600 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/52672757760000 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal -1/16796160000 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64))) (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) #s(literal 1/7257600 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (.f64 x x) #s(literal 1/7257600 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/52672757760000 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal -1/16796160000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal 1/16796160000 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/52672757760000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/165181768335360000 binary64)) #s(literal -1/16796160000 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8193540096000 binary64)) #s(literal -1/46656000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/406425600 binary64)) #s(literal 1/129600 binary64)) (.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal -1/2 binary64)))

simplify492.0ms (4.4%)

Memory

0.9MiB live, 519.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 174×	`lower-fma.f64`
15 174×	`lower-fma.f32`
4 802×	`lower-*.f64`
4 802×	`lower-*.f32`
2 306×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	976
1	123	976
2	279	962
3	694	962
4	2662	962
5	3957	962
6	4756	962
7	5292	962
8	6173	962
9	6918	962
10	7199	962
11	7417	962
12	7596	962
13	7771	962
0	8658	911

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/360 (pow x 5))
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))

Outputs
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(* 1/12 (pow x 4))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 5)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/360 (pow x 5))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (*.f64 x x))))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(* 1/360 (pow x 2))
(.f64 #s(literal 1/360 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/360 (pow x 6))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/360 (pow x 6))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(.f64 #s(literal 1/20160 binary64) (.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))

eval180.0ms (1.6%)

Memory: 45.2MiB live, 234.8MiB allocated
Compiler: Compiled 37 539 to 2 310 computations (93.8% saved)

prune164.0ms (1.5%)

Memory

-3.0MiB live, 189.9MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	998	4	1 002
Fresh	1	7	8
Picked	2	3	5
Done	0	4	4
Total	1 001	18	1 019

Accuracy

100.0%

Counts

1 019 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
	98.9%	(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
✓	53.4%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	98.9%	(.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x)
	52.4%	(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
▶	98.9%	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
▶	52.1%	(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
▶	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
▶	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
	98.9%	(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
▶	52.4%	(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
✓	98.7%	(*.f64 x x)

Compiler

Compiled 534 to 279 computations (47.8% saved)

simplify275.0ms (2.5%)

Memory

-3.3MiB live, 406.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
✓	cost-diff	128	(+.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(*.f64 #s(literal 1/360 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/12 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/12 binary64)) x)
✓	cost-diff	0	(.f64 (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
✓	cost-diff	0	(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
✓	cost-diff	0	(fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	(.f64 x (fma.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	cost-diff	3712	(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))

Rules

7 746×	`lower-fma.f32`
7 734×	`lower-fma.f64`
6 302×	`lower-*.f32`
6 262×	`lower-*.f64`
2 890×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	362
0	69	335
1	163	300
2	433	294
3	1545	230
4	4850	230
0	8594	220

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (fma.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
x
(fma.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(/.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/406425600 binary64))
#s(literal 1/406425600 binary64)
#s(literal -1/129600 binary64)
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
x
(.f64 (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(.f64 (.f64 x #s(literal 1/12 binary64)) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(*.f64 #s(literal 1/360 binary64) x)
#s(literal 1/360 binary64)
x
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
x
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)

Outputs
(.f64 x (fma.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
x
(fma.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(/.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))
(/.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))
(fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1/406425600 binary64))
#s(literal 1/406425600 binary64)
#s(literal -1/129600 binary64)
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/406425600 binary64))) #s(literal -1/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(*.f64 x #s(literal 1/20160 binary64))
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 x (.f64 x x))
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x (.f64 x x))))
x
(.f64 (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)
(.f64 (.f64 x x) #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
#s(literal 1/12 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 x (.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x x))))))
(*.f64 #s(literal 1/360 binary64) x)
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
x
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(*.f64 x x)
(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))
x
(fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)
(*.f64 x x)
(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(+.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(*.f64 x #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)

localize148.0ms (1.3%)

Memory

-10.7MiB live, 337.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/360 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 1/360 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(*.f64 #s(literal 1/360 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
✓	accuracy	99.9%	(.f64 (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/12 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/12 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/406425600 binary64))
✓	accuracy	99.7%	(/.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))
✓	accuracy	99.5%	(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))

Samples

84.0ms

256×

valid

Compiler

Compiled 390 to 43 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 40.0ms (60.9% of total)

const: 14.0ms (21.3% of total)

ival-add: 9.0ms (13.7% of total)

ival-div: 2.0ms (3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))>
#<alt (/.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 1/406425600 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x #s(literal 1/12 binary64))>
#<alt (.f64 (.f64 x #s(literal 1/12 binary64)) x)>
#<alt (.f64 (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)>
#<alt (.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))>
#<alt (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 #s(literal 1/360 binary64) x)>
#<alt (.f64 x (.f64 x (.f64 x (.f64 x x))))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))>
#<alt (*.f64 x #s(literal 1/360 binary64))>
#<alt (.f64 x (.f64 x #s(literal 1/360 binary64)))>
#<alt (.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))>

Outputs
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -129600 x)>
#<alt (* x (- (* -2025/49 (pow x 4)) 129600))>
#<alt (* x (- (* (pow x 4) (- (* -2025/153664 (pow x 4)) 2025/49)) 129600))>
#<alt (* x (- (* (pow x 4) (- (* (pow x 4) (- (* -2025/481890304 (pow x 4)) 2025/153664)) 2025/49)) 129600))>
#<alt (/ 406425600 (pow x 3))>
#<alt (/ (+ 406425600 (* 1274550681600 (/ 1 (pow x 4)))) (pow x 3))>
#<alt (/ (+ 406425600 (+ (* 1274550681600 (/ 1 (pow x 4))) (/ 3996990937497600 (pow x 8)))) (pow x 3))>
#<alt (/ (+ 406425600 (+ (* 1274550681600 (/ 1 (pow x 4))) (+ (* 12534563579992473600 (/ 1 (pow x 12))) (/ 3996990937497600 (pow x 8))))) (pow x 3))>
#<alt (/ 406425600 (pow x 3))>
#<alt (/ (+ 406425600 (* 1274550681600 (/ 1 (pow x 4)))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1274550681600 (* 3996990937497600 (/ 1 (pow x 4)))) (pow x 4))) 406425600) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3996990937497600 (* 12534563579992473600 (/ 1 (pow x 4)))) (pow x 8))) (+ 406425600 (* 1274550681600 (/ 1 (pow x 4))))) (pow x 3)))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (* 1/406425600 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* x (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 3))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ x (+ (* (* x x) (* (* x x) 1/406425600)) -1/129600))
0.0ms	x	@	inf	(/ x (+ (* (* x x) (* (* x x) 1/406425600)) -1/129600))
0.0ms	x	@	0	(/ x (+ (* (* x x) (* (* x x) 1/406425600)) -1/129600))
0.0ms	x	@	inf	(* (* x x) 1/406425600)
0.0ms	x	@	inf	(* (* x x) (+ (* (* x x) 1/12) 1))

rewrite378.0ms (3.4%)

Memory

1.9MiB live, 522.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 282×	`lower-fma.f32`
9 274×	`lower-fma.f64`
4 826×	`lower-*.f32`
4 790×	`lower-*.f64`
3 274×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	147
0	59	137
1	205	118
2	1370	102
0	8335	97

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

18 → 445

Calls

Call 1

Inputs
(.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))))
(/.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)))
(.f64 (.f64 x x) #s(literal 1/406425600 binary64))
(.f64 x (.f64 x x))
(*.f64 x #s(literal 1/12 binary64))
(.f64 (.f64 x #s(literal 1/12 binary64)) x)
(.f64 (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x)
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1/360 binary64) x)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/360 binary64))
(.f64 x (.f64 x #s(literal 1/360 binary64)))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))

Outputs
(+.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) x))
(+.f64 (.f64 x #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 x (.f64 (.f64 x #s(literal 1/20160 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))))) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) #s(literal -1/46656000 binary64))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) #s(literal -1/46656000 binary64))) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 x (.f64 (.f64 x #s(literal 1/20160 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))))))
(+.f64 (.f64 (.f64 x (.f64 (.f64 x #s(literal 1/20160 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))) (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) #s(literal -1/46656000 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) #s(literal -1/46656000 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))) (.f64 (.f64 x (.f64 (.f64 x #s(literal 1/20160 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/20160 binary64))) x) (.f64 x #s(literal 1/360 binary64)))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/20160 binary64)))) (.f64 x #s(literal 1/360 binary64)))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/129600 binary64))) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))))) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/129600 binary64))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 #s(literal -1/129600 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))) #s(literal -1/46656000 binary64))) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 #s(literal -1/129600 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))) #s(literal -1/46656000 binary64))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) #s(literal -1/129600 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) #s(literal -1/129600 binary64))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 #s(literal -1/129600 binary64) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))))))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 #s(literal -1/129600 binary64) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal -1/129600 binary64)) (.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))))))
(+.f64 (.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))))) (.f64 (.f64 (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal -1/129600 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/165181768335360000 binary64))))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) (+.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/52672757760000 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) (+.f64 #s(literal 1/16796160000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/52672757760000 binary64)))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/67134099304759689216000000 binary64)) #s(literal -1/2176782336000000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/165181768335360000 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/165181768335360000 binary64))) #s(literal -1/16796160000 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))))) (.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/165181768335360000 binary64))) #s(literal -1/16796160000 binary64))) #s(literal 1/129600 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/129600 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))) (.f64 (.f64 (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) #s(literal -1/129600 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal -1/129600 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))) #s(literal -1/46656000 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64))))) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))) (.f64 (fma.f64 #s(literal -1/129600 binary64) (.f64 x (.f64 x #s(literal 1/20160 binary64))) #s(literal -1/46656000 binary64)) (/.f64 x (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64)))))
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(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x (neg.f64 x))))) (neg.f64 (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 (neg.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (neg.f64 x)) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 x x))) x)) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))) x)) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 x (neg.f64 x)) x))
(/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x))
(.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) x)
(.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x x))))))
(.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 x (neg.f64 x)))))
(.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))) (.f64 x (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (neg.f64 x))))

simplify485.0ms (4.4%)

Memory

-21.3MiB live, 492.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 384×	`lower-fma.f64`
7 384×	`lower-fma.f32`
3 764×	`lower-*.f64`
3 764×	`lower-*.f32`
2 122×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1238
1	278	1238
2	674	1211
3	1904	1210
4	4950	1210
0	8702	1157

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -129600 x)
(* x (- (* -2025/49 (pow x 4)) 129600))
(* x (- (* (pow x 4) (- (* -2025/153664 (pow x 4)) 2025/49)) 129600))
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -2025/481890304 (pow x 4)) 2025/153664)) 2025/49)) 129600))
(/ 406425600 (pow x 3))
(/ (+ 406425600 (* 1274550681600 (/ 1 (pow x 4)))) (pow x 3))
(/ (+ 406425600 (+ (* 1274550681600 (/ 1 (pow x 4))) (/ 3996990937497600 (pow x 8)))) (pow x 3))
(/ (+ 406425600 (+ (* 1274550681600 (/ 1 (pow x 4))) (+ (* 12534563579992473600 (/ 1 (pow x 12))) (/ 3996990937497600 (pow x 8))))) (pow x 3))
(/ 406425600 (pow x 3))
(/ (+ 406425600 (* 1274550681600 (/ 1 (pow x 4)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 1274550681600 (* 3996990937497600 (/ 1 (pow x 4)))) (pow x 4))) 406425600) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 3996990937497600 (* 12534563579992473600 (/ 1 (pow x 4)))) (pow x 8))) (+ 406425600 (* 1274550681600 (/ 1 (pow x 4))))) (pow x 3)))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(* 1/406425600 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/12 x)
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* x (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 3))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))

Outputs
(* 1/360 x)
(*.f64 #s(literal 1/360 binary64) x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* 1/20160 (pow x 3))
(.f64 x (.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 #s(literal 1/20160 binary64) (.f64 x x) #s(literal 1/360 binary64)))
(* -129600 x)
(*.f64 x #s(literal -129600 binary64))
(* x (- (* -2025/49 (pow x 4)) 129600))
(.f64 x (fma.f64 #s(literal -2025/49 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -129600 binary64)))
(* x (- (* (pow x 4) (- (* -2025/153664 (pow x 4)) 2025/49)) 129600))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -2025/153664 binary64) #s(literal -2025/49 binary64)) #s(literal -129600 binary64)))
(* x (- (* (pow x 4) (- (* (pow x 4) (- (* -2025/481890304 (pow x 4)) 2025/153664)) 2025/49)) 129600))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -2025/481890304 binary64) #s(literal -2025/153664 binary64)) #s(literal -2025/49 binary64)) #s(literal -129600 binary64)))
(/ 406425600 (pow x 3))
(/.f64 #s(literal 406425600 binary64) (.f64 x (.f64 x x)))
(/ (+ 406425600 (* 1274550681600 (/ 1 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 #s(literal 406425600 binary64) (/.f64 #s(literal 1274550681600 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (*.f64 x x)))
(/ (+ 406425600 (+ (* 1274550681600 (/ 1 (pow x 4))) (/ 3996990937497600 (pow x 8)))) (pow x 3))
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1
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eval156.0ms (1.4%)

Memory: 39.9MiB live, 233.3MiB allocated
Compiler: Compiled 29 723 to 2 166 computations (92.7% saved)

prune88.0ms (0.8%)

Memory

-41.5MiB live, 205.1MiB allocated

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	858	1	859
Fresh	0	6	6
Picked	1	4	5
Done	0	7	7
Total	859	18	877

Accuracy

100.0%

Counts

877 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.9%	(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
	98.9%	(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
✓	53.4%	(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
	98.9%	(.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x)
	52.4%	(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
✓	98.9%	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
✓	52.1%	(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (neg.f64 x) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 (.f64 x x) #s(literal -1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
	98.9%	(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
✓	98.9%	(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
	98.9%	(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
✓	52.4%	(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
✓	98.7%	(*.f64 x x)

Compiler

Compiled 740 to 288 computations (61.1% saved)

regimes13.0ms (0.1%)

Memory

33.7MiB live, 33.7MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x)
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64) #s(literal -1/129600 binary64)) x) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (/.f64 (.f64 (neg.f64 x) (fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/406425600 binary64)))) #s(literal -1/129600 binary64))) (fma.f64 (.f64 x x) #s(literal -1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 (/.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64))) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/406425600 binary64)) #s(literal -1/129600 binary64)) (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (-.f64 (/.f64 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 1/406425600 binary64)) (-.f64 #s(literal 1/360 binary64) (.f64 (.f64 x x) #s(literal 1/20160 binary64)))))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Outputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))

Calls

2 calls:

7.0ms	x
6.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-14.2MiB live, 23.6MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x) x)

Outputs
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))

Calls

2 calls:

5.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
5.0ms	x

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory

-20.5MiB live, 22.1MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))

Outputs
(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))

Calls

2 calls:

4.0ms	x
4.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
(.f64 x (.f64 #s(literal 1/360 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 #s(literal 1/360 binary64) x) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 x x) #s(literal 1/12 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (.f64 x (+.f64 (.f64 x (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))) x))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x #s(literal 1/360 binary64))) x (*.f64 x #s(literal 1/12 binary64))) x))

Outputs
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 (*.f64 x x) #s(literal 1/12 binary64)) x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)))

Outputs
(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory

-29.8MiB live, 9.7MiB allocated

Accuracy

Total -29.7b remaining (-3693%)

Threshold costs -29.7b (-3693%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)))
(.f64 x (.f64 (.f64 (.f64 x #s(literal 1/12 binary64)) x) x))

Outputs
(*.f64 x x)

Calls

2 calls:

2.0ms	x
1.0ms	(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	86
1	41	86

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
(*.f64 x x)

Outputs
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x (.f64 x x)) x) (.f64 x x))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/20160 binary64)) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 x x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))) #s(literal 1/12 binary64)) (.f64 x (*.f64 x x)) x))
(.f64 x (fma.f64 (fma.f64 x (.f64 x (.f64 #s(literal 1/20160 binary64) (.f64 x x))) #s(literal 1/12 binary64)) (.f64 x (.f64 x x)) x))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/12 binary64)) x (.f64 x x))
(fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 x (.f64 x x))) x (.f64 x x))
(.f64 x (fma.f64 x (.f64 (*.f64 x #s(literal 1/12 binary64)) x) x))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal 1/12 binary64))) x))
(*.f64 x x)

soundness784.0ms (7.1%)

Memory

-17.8MiB live, 593.7MiB allocated

Rules

18 232×	`lower-fma.f64`
18 232×	`lower-fma.f32`
17 068×	`lower-fma.f64`
17 068×	`lower-fma.f32`
4 936×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	1344
1	335	1276
2	855	1272
3	2300	1272
4	4215	1272
5	7016	1272
0	8307	1172
0	60	269
1	168	268
2	397	262
3	1053	262
4	1755	262
5	3019	262
6	3833	262
7	5252	262
8	6659	262
0	8202	241
0	22	114
0	45	106
1	188	106
2	1364	106
0	8209	102

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 161 to 68 computations (57.8% saved)

preprocess114.0ms (1%)

Memory: 20.1MiB live, 135.5MiB allocated
Remove: (abs x)
Compiler: Compiled 400 to 180 computations (55% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21

analyze0.0ms (0%)

sample3.2s (28.7%)

preprocess35.0ms (0.3%)

explain248.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize104.0ms (0.9%)

series2.0ms (0%)

rewrite306.0ms (2.8%)

simplify735.0ms (6.6%)

eval65.0ms (0.6%)

prune33.0ms (0.3%)

simplify382.0ms (3.4%)

localize265.0ms (2.4%)

series13.0ms (0.1%)

rewrite448.0ms (4%)

simplify919.0ms (8.3%)

eval101.0ms (0.9%)

prune74.0ms (0.7%)

simplify248.0ms (2.2%)

localize196.0ms (1.8%)

series9.0ms (0.1%)

rewrite378.0ms (3.4%)

simplify492.0ms (4.4%)

eval180.0ms (1.6%)

prune164.0ms (1.5%)

simplify275.0ms (2.5%)

localize148.0ms (1.3%)

series8.0ms (0.1%)

rewrite378.0ms (3.4%)

simplify485.0ms (4.4%)

eval156.0ms (1.4%)

prune88.0ms (0.8%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness784.0ms (7.1%)

preprocess114.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	17
1	31	17
2	81	16
3	183	16
4	308	16
5	389	16
6	416	16
0	7	8
0	12	8
1	24	8
2	40	8
3	63	8
4	102	8
5	168	8
6	273	8
7	329	8
8	382	8
9	384	8
0	384	8

Iter	Nodes	Cost
0	7	21
0	12	21
1	24	21
2	40	21
3	63	21
4	102	21
5	168	21
6	273	21
7	329	21
8	382	21
9	384	21
0	384	21